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VOL. 85 | 2020 Elastic networks, statics and dynamics
Matteo Novaga, Alessandra Pluda

Editor(s) Yoshikazu Giga, Nao Hamamuki, Hideo Kubo, Hirotoshi Kuroda, Tohru Ozawa

Abstract

We consider planar networks minimizing the elastic energy, we state an existence and regularity result, and we discuss some geometric properties of minimal configurations. We also consider the evolution of networks by the gradient flow of the energy, and we give a well-posedness result in the case of natural boundary conditions.

Information

Published: 1 January 2020
First available in Project Euclid: 29 December 2020

Digital Object Identifier: 10.2969/aspm/08510325

Subjects:
Primary: 35A15
Secondary: 35K52, 49Q10, 53C44

Rights: Copyright © 2020 Mathematical Society of Japan

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